Properties of vector valued finitely additive set functions
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- by R. B. Darst PDF
- Proc. Amer. Math. Soc. 23 (1969), 528-535 Request permission
References
- S. Bochner, Additive set functions on groups, Ann. of Math. (2) 40 (1939), 769–799. MR 669, DOI 10.2307/1968893
- Richard B. Darst, A decomposition of finitely additive set functions, J. Reine Angew. Math. 210 (1962), 31–37. MR 137808, DOI 10.1515/crll.1962.210.31
- Richard B. Darst, A decomposition for complete normed abelian groups with applications to spaces of additive set functions, Trans. Amer. Math. Soc. 103 (1962), 549–558. MR 137807, DOI 10.1090/S0002-9947-1962-0137807-5
- R. B. Darst, The Lebesgue decomposition, Duke Math. J. 30 (1963), 553–556. MR 156934 —, A direct proof of Porcelli’s condition for weak convergence, Proc. Amer. Math. Soc. 16 (1965), 1094-1096.
- R. B. Darst, On a theorem of Nikodym with applications to weak convergence and von Neumann algebras, Pacific J. Math. 23 (1967), 473–477. MR 238084
- R. B. Darst and Euline Green, On a Radon-Nikodym theorem for finitely additive set functions, Pacific J. Math. 27 (1968), 255–259. MR 236339 M. M. Day, Normed linear spaces, 2nd rev. ed., Ergebenesse der Math., Heft 21, Springer-Verlag, Berlin, 1962. N. Dunford and J. T. Schwartz, Linear operators, Interscience, New York, 1958.
- Charles Fefferman, A Radon-Nikodym theorem for finitely additive set functions, Pacific J. Math. 23 (1967), 35–45. MR 215956
- Pasquale Porcelli, Two embedding theorems with applications to weak convergence and compactness in spaces of additive type functions, J. Math. Mech. 9 (1960), 273–292. MR 0124723, DOI 10.1512/iumj.1960.9.59016
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 528-535
- MSC: Primary 28.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247025-X
- MathSciNet review: 0247025